Sequence is defined as, F 0 = 0 and F 1 = 1 and F n = F n-1 + F n-2 ARITHMETIC SEQUENCESĪ sequence a1, a2, a3, …., an is an arithmetic sequence if there is a constant d for whichįor all integers n > 1, d is called the common difference of the sequence, and d = a n – a n-1 for all integers n > 1. Fibonacci Numbersįibonacci numbers form an interesting sequence of numbers in which each element is obtained by adding two preceding elements and the sequence starts with 0 and 1. Harmonic SequencesĪ series of numbers is said to be in harmonic sequence if the reciprocals of all the elements of the sequence form an arithmetic sequence. Where we’ll be studying arithmetic and geometric in detail. Note: The series is finite or infinite depending if the sequence is finite or infinite. Series a number of events, objects, or people of a similar or related kind coming one after another.
is a sequence, then the corresponding series is given by either finite sequence or infinite sequence. Sum of n terms for Arithmetic and Geometric seriesĪ sequence is an arrangement of any objects or a set of numbers in a particular order followed by some rule. If a 1, a 2, a 3, a 4,……… etc., denote the terms of a sequence, then 1,2,3,4,….denotes the position of the term.Ī sequence can be defined based upon the number of terms i.e.
n th term for Arithmetic and Geometric sequences.Advanced Placement (AP) Tuition Classesīy the end of this chapter you should be familiar with:.IB English Language & Literature HL Tutors.IB English Language & Literature SL Tutors.
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